"Strange identity of Freudenthal-de Vries"의 두 판 사이의 차이
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imported>Pythagoras0 |
Pythagoras0 (토론 | 기여) |
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| (사용자 2명의 중간 판 4개는 보이지 않습니다) | |||
| 1번째 줄: | 1번째 줄: | ||
==introduction== | ==introduction== | ||
* [[Root Systems and Dynkin diagrams]] | * [[Root Systems and Dynkin diagrams]] | ||
| − | * <math>\rho</math> | + | * <math>\rho</math> Weyl vector |
* Kac book 219p, 221p | * Kac book 219p, 221p | ||
* strange formula :<math>\frac{\langle\rho,\rho\rangle}{2h^{\vee}}=\frac{\operatorname{dim}\mathfrak{g}}{24}</math> | * strange formula :<math>\frac{\langle\rho,\rho\rangle}{2h^{\vee}}=\frac{\operatorname{dim}\mathfrak{g}}{24}</math> | ||
| 7번째 줄: | 7번째 줄: | ||
* conformal anomaly :<math>m_{\Lambda}=\frac{(\Lambda+\rho)^2}{2(k+h^{\vee})}-\frac{\rho^2}{2h^{\vee}}=h_{\lambda}-\frac{c(k)}{24}</math> | * conformal anomaly :<math>m_{\Lambda}=\frac{(\Lambda+\rho)^2}{2(k+h^{\vee})}-\frac{\rho^2}{2h^{\vee}}=h_{\lambda}-\frac{c(k)}{24}</math> | ||
| − | + | ||
==articles== | ==articles== | ||
* Thiel, Marko, and Nathan Williams. “Strange Expectations.” arXiv:1508.05293 [math], August 21, 2015. http://arxiv.org/abs/1508.05293. | * Thiel, Marko, and Nathan Williams. “Strange Expectations.” arXiv:1508.05293 [math], August 21, 2015. http://arxiv.org/abs/1508.05293. | ||
* H. FREUDENTHAL and H. DE VRIES. “Linear Lie groups”, New York: Academic Press, 1969. | * H. FREUDENTHAL and H. DE VRIES. “Linear Lie groups”, New York: Academic Press, 1969. | ||
| − | * [http://qjmath.oxfordjournals.org/cgi/reprint/51/3/295.pdf AN ELEMENTARY PROOF OF THE 'STRANGE FORMULA' OF FREUDENTHAL AND DE Vries] | + | * [http://qjmath.oxfordjournals.org/cgi/reprint/51/3/295.pdf AN ELEMENTARY PROOF OF THE 'STRANGE FORMULA' OF FREUDENTHAL AND DE Vries] |
| − | ** John Burn, 2004 | + | ** John Burn, 2004 |
[[분류:개인노트]] | [[분류:개인노트]] | ||
[[분류:math and physics]] | [[분류:math and physics]] | ||
[[분류:Lie theory]] | [[분류:Lie theory]] | ||
| + | [[분류:migrate]] | ||
| + | |||
| + | ==메타데이터== | ||
| + | ===위키데이터=== | ||
| + | * ID : [https://www.wikidata.org/wiki/Q7201015 Q7201015] | ||
| + | ===Spacy 패턴 목록=== | ||
| + | * [{'LOWER': 'plane'}, {'LEMMA': 'partition'}] | ||
2021년 2월 17일 (수) 01:56 기준 최신판
introduction
- Root Systems and Dynkin diagrams
- \(\rho\) Weyl vector
- Kac book 219p, 221p
- strange formula \[\frac{\langle\rho,\rho\rangle}{2h^{\vee}}=\frac{\operatorname{dim}\mathfrak{g}}{24}\]
- very strange formula
- conformal anomaly \[m_{\Lambda}=\frac{(\Lambda+\rho)^2}{2(k+h^{\vee})}-\frac{\rho^2}{2h^{\vee}}=h_{\lambda}-\frac{c(k)}{24}\]
articles
- Thiel, Marko, and Nathan Williams. “Strange Expectations.” arXiv:1508.05293 [math], August 21, 2015. http://arxiv.org/abs/1508.05293.
- H. FREUDENTHAL and H. DE VRIES. “Linear Lie groups”, New York: Academic Press, 1969.
- AN ELEMENTARY PROOF OF THE 'STRANGE FORMULA' OF FREUDENTHAL AND DE Vries
- John Burn, 2004
메타데이터
위키데이터
- ID : Q7201015
Spacy 패턴 목록
- [{'LOWER': 'plane'}, {'LEMMA': 'partition'}]